Applied Mathematics in Hydrogeology
Auteur : Lee Tien-Chang
As introduced in Dr. Lee's 10-week class, Applied Mathematics in Hydrogeology is written for professionals and graduate students who have a keen interest in the application of mathematics in hydrogeology.
Its first seven chapters cover analytical solutions for problems commonly encountered in the study of quantitative hydrogeology, while the final three chapters focus on solving linear simultaneous equations, finite element analysis, and inversion for parameter determination.
Dr. Lee provides various equation-solving methods that are of interest to hydrogeologists, geophysicists, soil scientists, and civil engineers, as well as applied physicists and mathematicians. In the classroom, this same information will help students realize how familiar equations in hydrogeology are derived-an important step toward development of a student's own mathematical models.
Unlike other applied mathematics books that are structured according to systematic methodology, Applied Mathematics in Hydrogeology emphasizes equation-solving methods according to topics. Hydrogeological problems and governing differential equations are introduced, including hydraulic responses to pumping in confined and unconfined aquifers, as well as transport of heat and solute in flowing groundwater.
Date de parution : 10-2019
17.8x25.4 cm
Thèmes d’Applied Mathematics in Hydrogeology :
Mots-clés :
Line Source Solution; linear simultaneous equations; Advective Heat Transfer; hydraulic responses; Finite Difference Method; equation-solving methods; Ordinary Differential Equations; applied mathematics; Inverse Problem Theory; quantitative hydrogeology; Mass Flux Term; Heat Energy Flow; Volumetric Heat Capacity; Axi Symmetric Problem; Linear Inversion; Energy Conservation; Darcy’s Velocity; Instantaneous Point Source; Laplace Transform; Hydraulic Head; Inverse Hankel Transform; Hankel Transform; Unconfined Aquifer; Exponential Integral; Laplace Domain; Average Drawdown; Constant Head Boundary; Infinitesimal Diameter; Groundwater Flow; Numerical Oscillation